Set up an appropriate equation and solve. Data are accurate to two significant digits.

2 3 x + 1 2 y = 2 3 8 x + 5 6 y = − 11 2

Allushta [10]

Answer:

The answer is in the image below

3 0

3 years ago

A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

so

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

Explain how to find the difference between 9^10/9^11 and 9^11/9^10

kkurt [141]

Answer:

jhv

Step-by-step explanation:

kjbb

6 0

3 years ago

Read 2 more answers

Helllllppp please asap

BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = $\frac{h}{c}$

c = $\frac{h}{\text{tan}47}$

c = $\frac{4.8}{\text{tan}47}$

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = $\frac{h}{b}$

b = $\frac{h}{\text{tan}37}$

b = $\frac{4.8}{1.0724}$

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = $\frac{h}{a}$

a = $\frac{h}{\text{tan}27}$

a = $\frac{4.8}{0.5095}$

a = 9.42 m

5 0

3 years ago

An electronics company makes communication devices for military contracts. The company just completed two contracts. The navy co

adelina 88 [10]

Answer:

Workers of army contract were more productive.

Step-by-step explanation:

To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.

Navy Contract:

Number of devices = 2,300

Number of workers = 25

Number of weeks = 2 weeks

Number of hours per week = 40

The number of hours it took 25 workers to produce 2300 devices is =

$=25\times2\times40\\=2000\ hours$

Then number of devices produced in 1 hour is = $\frac{2300}{2000}= 1.15\ devices\ per\ hour$

Army Contract:

Number of devices = 5,500

Number of workers = 35

Number of weeks = 3 weeks

Number of hours per week = 40

The number of hours it took 35 workers to produce 5500 devices is = $=35\times3\times40\\=4200\ hours$

Then number of devices produced in 1 hour is = $\frac{5500}{4200}= 1.31\ devices\ per\ hour$

The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.

4 0

3 years ago